Greatest Common Factor of 78/575, 538/749, 548/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/575, 538/749, 548/289

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 78/575,538/749,548/289

Given fractions are 78/575,538/749,548/289

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 78,538,548

Greatest Common Factor of Numerators i.e. GCF of 78,538,548 is 2 .

LCM of Denominators means LCM of 575,749,289 as per the given fractions.

LCM of 575,749,289 is 124465075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,538,548

GCF of Fractions 78/575,538/749,548/289 is 2/124465075

2 78, 538, 548
39, 269, 274

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 78,538,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,538,548 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 78,538,548 . The biggest common factor number is the GCF number.
So the greatest common factor 78,538,548 is 2.

Lets's calculate LCM of 575,749,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 124465075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124465075

Therefore, the GCF of Fractions 78/575,538/749,548/289 is 2/124465075

Least Common Multiple of 575,749,289 with GCF Formula

Least Common Multiple of 575,749,289 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 575,749,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,749,289) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(575,749,289) x common factors =1 x 1 = 1

LCM(575,749,289) = ( 575 × 749 × 289 ) / 1

LCM(575,749,289) = 124465075 / 1

LCM(575,749,289) = 124465075


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 78/575, 538/749, 548/289

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 78/575, 538/749, 548/289?

Answer: GCF of Numerators as per given numbers 78/575, 538/749, 548/289 is

GCF of Numerators i.e. for 78,538,548 is 2

LCM of denominators i.e. for 575,749,289 is 124465075.

Thus, GCF of Fractions is 2/124465075.Finally, GCF of Fractions for 78/575, 538/749, 548/289 is 2/124465075.